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Finding the Third Proportional to 195,904 and 302,784

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Solution

The third proportional to 195,904 and 302,784 is: 467,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,904 : 302,784 = 302,784 : x
  2. Step 2: Convert to fraction form
    195,904/302,784 = 302,784/x
  3. Step 3: Cross multiply
    195,904x = 302,784 × 302,784
  4. Step 4: Simplify right side
    195,904x = 91,678,150,656
  5. Step 5: Solve for x
    x = 91,678,150,656/195,904
  6. Step 6: Final answer
    x = 467,974.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.